Details

Time bar (total: 2.1s)

analyze411.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms33×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
048209
148209

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ y 1.0) z)
0.0b
(- (* x (/ (+ y 1.0) z)) x)
2.8b
(* x (/ (+ y 1.0) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*r/ pow-prod-down clear-num *-commutative flip-- flip-+
Counts
3 → 79
Calls
3 calls:
6.0ms
(/ (+ y 1.0) z)
7.0ms
(- (* x (/ (+ y 1.0) z)) x)
9.0ms
(* x (/ (+ y 1.0) z))

series23.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (+ y 1.0) z)
8.0ms
(- (* x (/ (+ y 1.0) z)) x)
8.0ms
(* x (/ (+ y 1.0) z))

simplify61.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04967798
14967798

prune116.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh011
Picked011
Done000
Total85590

Merged error: 0.0b

Counts
90 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (* (+ y 1.0) (/ 1 z))) x)
0.1b
(* (+ y 1.0) (/ 1 z))
2.8b
(* x (* (+ y 1.0) (/ 1 z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
15×*-un-lft-identity
14×associate-*r*
13×prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
8×associate-*r/
7×associate-*l* cbrt-unprod
5×add-log-exp
4×frac-times flip3-+ div-exp pow-prod-down associate-*l/ flip-+
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative
1×sub-neg flip3-- diff-log flip-- div-inv distribute-lft-out
Counts
3 → 80
Calls
3 calls:
10.0ms
(- (* x (* (+ y 1.0) (/ 1 z))) x)
9.0ms
(* (+ y 1.0) (/ 1 z))
9.0ms
(* x (* (+ y 1.0) (/ 1 z)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (* x (* (+ y 1.0) (/ 1 z))) x)
4.0ms
(* (+ y 1.0) (/ 1 z))
8.0ms
(* x (* (+ y 1.0) (/ 1 z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04958751
14958751

prune100.0ms

Filtered
55 candidates to 89 candidates (-61.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done011
Total89594

Merged error: 0.0b

Counts
94 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y 1.0))
0.0b
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
4.1b
(* (* x (+ y 1.0)) (/ 1 z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×associate-*r* add-cbrt-cube
14×add-sqr-sqrt *-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-+ flip-+
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log un-div-inv flip-- div-inv distribute-lft-out unswap-sqr
Counts
3 → 76
Calls
3 calls:
5.0ms
(* x (+ y 1.0))
9.0ms
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
9.0ms
(* (* x (+ y 1.0)) (/ 1 z))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* x (+ y 1.0))
8.0ms
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
7.0ms
(* (* x (+ y 1.0)) (/ 1 z))

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05255738

prune114.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh022
Picked011
Done022
Total84690

Merged error: 0b

Counts
90 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05594485

prune58.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New52153
Fresh202
Picked011
Done033
Total54559

Merged error: 0b

Counts
59 → 5

regimes237.0ms

Accuracy

90.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.5b

bsearch34.0ms

Steps
ItersRangePoint
9
1.9424758591370718e-77
5.920735313394982e-72
3.2544835239499223e-72
9
-1.9482215228739983e-53
-5.715860115822873e-59
-4.030468098406412e-54

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010537
110537

end0.0ms

sample484.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
33.0ms1028×body80invalid

Profiling

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